Game Theory and Control
Game Theory and Control
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DOI：
10.1146/annurev-control-060117-105102
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发表时间：
2018-01-01
期刊：
影响因子：
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通讯作者：
Shamma, Jeff S.
中科院分区：
文献类型：
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作者：
Marden, Jason R.;Shamma, Jeff S.
博弈论是对决策问题的研究，在这些问题中有多个决策者，并且一个决策者选择的优劣既取决于该选择本身，也取决于其他决策者的选择。虽然博弈论主要作为数学社会科学中的一种建模范式被研究，但它与控制系统有紧密联系，因为控制器可被视为一个决策实体。因此，在有多个相互作用的控制器的情形中，博弈论是相关的。本文对博弈论进行了介绍，接着列举了在三个特定控制理论主题中博弈论发挥了重要作用的一些成果：(a)零和博弈，其中两个相互竞争的参与者是一个控制器和一个对抗性环境；(b)团队博弈，其中几个控制器追求一个共同目标，但可获取不同信息；(c)分布式控制，其中设计了一个博弈和在线自适应规则，以使分布式相互作用的子系统能够实现一个集体目标。
Game theory is the study of decision problems in which there are multiple decision makers and the quality of a decision maker's choice depends on both that choice and the choices of others. While game theory has been studied predominantly as a modeling paradigm in the mathematical social sciences, there is a strong connection to control systems in that a controller can be viewed as a decision-making entity. Accordingly, game theory is relevant in settings with multiple interacting controllers. This article presents an introduction to game theory, followed by a sampling of results in three specific control theory topics where game theory has played a significant role: (a) zero-sum games, in which the two competing players are a controller and an adversarial environment; (b) team games, in which several controllers pursue a common goal but have access to different information; and (c) distributed control, in which both a game and online adaptive rules are designed to enable distributed interacting subsystems to achieve a collective objective.